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Finding the Fourth Proportional to 538,341.60, 807,585.30 and 201,300.60

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Solution

The fourth proportional to 538,341.60, 807,585.30 and 201,300.60 is: 301,978.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,341.60 : 807,585.30 = 201,300.60 : x
  2. Step 2: Convert to fraction form
    538,341.60/807,585.30 = 201,300.60/x
  3. Step 3: Cross multiply
    538,341.60x = 807,585.30 × 201,300.60
  4. Step 4: Simplify right side
    538,341.60x = 162,567,405,441.18
  5. Step 5: Solve for x
    x = 162,567,405,441.18/538,341.60
  6. Step 6: Final answer
    x = 301,978.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.